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Finding the Fourth Proportional to 1,967.52, 2,951.28 and 506.79

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Solution

The fourth proportional to 1,967.52, 2,951.28 and 506.79 is: 760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.52 : 2,951.28 = 506.79 : x
  2. Step 2: Convert to fraction form
    1,967.52/2,951.28 = 506.79/x
  3. Step 3: Cross multiply
    1,967.52x = 2,951.28 × 506.79
  4. Step 4: Simplify right side
    1,967.52x = 1,495,679.19
  5. Step 5: Solve for x
    x = 1,495,679.19/1,967.52
  6. Step 6: Final answer
    x = 760.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.